Some Exact Conditions for the Solvability of the Initial-Value Problem for Systems of Linear Functional-Differential Equations

We obtain exact, in a sense, conditions sufficient for the unique solvability of the Cauchy problem for systems of linear functional-differential equations of the general form. Efficient criteria for the unique solvability of the initial-value problem for systems of equations with deviating argument are given.__________Translated from Neliniini Kolyvannya, Vol. 7, No. 4, pp. 538–554, October–December, 2004.